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On affine Deligne-Lusztig varieties for Sp_4(L)

Representation Theory 2023-04-06 v1

Abstract

In this paper, we study the emptiness/nonemptiness and the dimension formulas of affine Deligne-Lusztig varieties for Sp4(L)Sp_4(L). We mainly calculate the degree of class polynomials for the Iwahori-Hecke algebra of type C~2\widetilde{C}_2. Then, give an explicit description on the emptiness/nonemptiness and dimension formulas of affine Deligne-Lusztig varieties for the group Sp4(L)Sp_4(L).

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Cite

@article{arxiv.2304.02093,
  title  = {On affine Deligne-Lusztig varieties for Sp_4(L)},
  author = {Zhongwei Yang},
  journal= {arXiv preprint arXiv:2304.02093},
  year   = {2023}
}

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30 pages